SOLUTION: 5^2x=7^1+x find x

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Question 1010836: 5^2x=7^1+x find x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

5%5E%282x%29=7%5E%281%2Bx%29 to find x, take a log of both sides
log%285%5E2x%29=log%287%5E%281%2Bx%29%29
2x%2Alog%285%29=%281%2Bx%29log%287%29
2x%2Alog%285%29=x%2Alog%287%29%2Blog%287%29
2x%2Alog%285%29-x%2Alog%287%29=log%287%29
x%282log%285%29-log%287%29%29=log%287%29
x+=+%28log%287%29%29%2F%282log%285%29-log%287%29%29